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Simplifying 5.3 + 2.7 = 3z + 11.1 + -2z Combine like terms: 5.3 + 2.7 = 8 8 = 3z + 11.1 + -2z Reorder the terms: 8 = 11.1 + 3z + -2z Combine like terms: 3z + -2z = 1z 8 = 11.1 + 1z Solving 8 = 11.1 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 8 + -1z = 11.1 + 1z + -1z Combine like terms: 1z + -1z = 0 8 + -1z = 11.1 + 0 8 + -1z = 11.1 Add '-8' to each side of the equation. 8 + -8 + -1z = 11.1 + -8 Combine like terms: 8 + -8 = 0 0 + -1z = 11.1 + -8 -1z = 11.1 + -8 Combine like terms: 11.1 + -8 = 3.1 -1z = 3.1 Divide each side by '-1'. z = -3.1 Simplifying z = -3.1
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